11 citations · 26 across the 10 of their papers we have counts for
10 papers · 1 filter
A class of twisted generalized Reed-Solomon codes
Jun Zhang, Zhengchun Zhou, Chunming Tang
Let be a finite field of size and the set of non-zero elements of . In this paper, we study a class of twisted generalized Reed-So…
A Note on Self-Dual Generalized Reed-Solomon Codes
Weijun Fang, Jun Zhang, Shu-Tao Xia1 +1
A linear code is called an MDS self-dual code if it is both an MDS code and a self-dual code with respect to the Euclidean inner product. The parameters of such codes are completel…
On the 2-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences
Lulu Zhang, Jun Zhang, Minghui Yang +1
We determine the 2-adic complexity of the Ding-Helleseth-Martinsen (DHM) binary sequences by using cyclotomic numbers of order four, "Gauss periods" and "quadratic Gauss sum" on fi…
Deep Holes of Projective Reed-Solomon Codes
Jun Zhang, Daqing Wan, Krishna Kaipa
Projective Reed-Solomon (PRS) codes are Reed-Solomon codes of the maximum possible length q+1. The classification of deep holes --received words with maximum possible error distanc…
Explicit Deep Holes of Reed-Solomon Codes
Jun Zhang, Daqing Wan
In this paper, deep holes of Reed-Solomon (RS) codes are studied. A new class of deep holes for generalized affine RS codes is given if the evaluation set satisfies certain combina…
New Constructions of MDS Symbol-Pair Codes
Baokun Ding, Gennian Ge, Jun Zhang +2
Motivated by the application of high-density data storage technologies, symbol-pair codes are proposed to protect against pair-errors in symbol-pair channels, whose outputs are ove…